Bryant, who led the nation last year with 31 home runs, flew to Chicago from Las Vegas late Tuesday night, arriving Wednesday morning. He was reportedly taking a physical Wednesday.

Mike Bryant said his son was expected to sign the contract by Friday.

“If all reports are accurate, then man, the Cubs are getting a special player,” said USD coach Rich Hill.

“Kris was a program-changer. Adjectives don’t describe what he meant to our university and to the San Diego community as a whole.

“We are extremely proud of him and look forward to some fun, wind-blown days at Wrigley Field with Kris Bryant at the dish.”

Bryant becomes not only the highest-paid player in this year’s draft, but the highest-paid player since Major League Baseball adopted a slotting bonus program last season.

Byron Buxton, then a high school outfielder from Appling County, Ga., signed the most lucrative bonus in 2012. He reached a $6 million deal as the draft’s second overall pick by the Twins.

MLB created a system where it recommended bonus amounts to be paid based upon where a player was drafted. The program was created to help rein in bonuses paid to amateur players.

With Bryant committing to the Cubs, only three of the 33 first-round picks have not signed.

While Bryant was considered a first- or second-round talent coming out of Bonanza High in 2010, he wasn’t selected until the 18th round by the Blue Jays. Teams were scared off of drafting him earlier because he had committed to USD.

Bryant was offered a $1 million to $1.2 million bonus by the Blue Jays, which the family turned down.

“We just placed a high value on education,” Mike Bryant said last month. “That signing bonus out of high school sounds like a lot of money. You take the tax bite out, it’s not life-changing money.”

After hitting .366 with 14 home runs in 2012 as a sophomore, Bryant went into his junior season forecast to be picked about 10th in the draft. His stock zoomed after leading the nation with 31 home runs.